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4442212530 = 2375729017
BaseRepresentation
bin1000010001100011…
…01100100010110010
3102110120210210000000
410020301230202302
533044201300110
62012444010430
7215040116640
oct41061544262
912416723000
104442212530
11197a571028
12a3b830a16
1355a422932
14301d86190
151aeec61c0
hex108c6c8b2

4442212530 has 128 divisors (see below), whose sum is σ = 13705781760. Its totient is φ = 1015327872.

The previous prime is 4442212519. The next prime is 4442212553. The reversal of 4442212530 is 352122444.

4442212530 is a `hidden beast` number, since 4 + 442 + 212 + 5 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4442212494 and 4442212503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138582 + ... + 167598.

It is an arithmetic number, because the mean of its divisors is an integer number (107076420).

Almost surely, 24442212530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442212530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852890880).

4442212530 is an abundant number, since it is smaller than the sum of its proper divisors (9263569230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4442212530 is an equidigital number, since it uses as much as digits as its factorization.

4442212530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29052 (or 29034 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4442212530 is about 66649.9252062596. The cubic root of 4442212530 is about 1643.8661180867.

Adding to 4442212530 its reverse (352122444), we get a palindrome (4794334974).

The spelling of 4442212530 in words is "four billion, four hundred forty-two million, two hundred twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1134 1215 1458 1701 1890 2187 2430 2835 3402 3645 4374 5103 5670 7290 8505 10206 10935 15309 17010 21870 25515 29017 30618 51030 58034 76545 87051 145085 153090 174102 203119 261153 290170 406238 435255 522306 609357 783459 870510 1015595 1218714 1305765 1566918 1828071 2031190 2350377 2611530 3046785 3656142 3917295 4700754 5484213 6093570 7051131 7834590 9140355 10968426 11751885 14102262 16452639 18280710 21153393 23503770 27421065 32905278 35255655 42306786 49357917 54842130 63460179 70511310 82263195 98715834 105766965 126920358 148073751 164526390 211533930 246789585 296147502 317300895 444221253 493579170 634601790 740368755 888442506 1480737510 2221106265 4442212530